Use the Trapezoidal Rule with N = 4 Steps to Estimate

Multiple Choice

Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
- $$\int _ { - \pi } ^ { 0 } \sin x d x$$

A) $- \frac { 1 + \sqrt { 2 } } { 8 } \pi$
B) $- \frac { 1 + \sqrt { 2 } } { 2 } \pi$
C) $- \frac { 1 + \sqrt { 2 } } { 4 } \pi$
D) $- ( 1 + \sqrt { 2 } ) \pi$